(ctgx-4)/(2ctgx+3)=2

Question

(ctgx-4)/(2ctgx+3)=2

Answer 1

Сtgx-4=2(2ctgx+3)      ctgx≠-3/2
ctgx-4=4ctgx+6
4ctgx-ctgx=-4-6
3ctgx=-10
ctgx=-10/3
x=π-arcctg10/3+πn